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Finding the Fourth Proportional to 290.36, 434.94 and 192.92

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Solution

The fourth proportional to 290.36, 434.94 and 192.92 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.36 : 434.94 = 192.92 : x
  2. Step 2: Convert to fraction form
    290.36/434.94 = 192.92/x
  3. Step 3: Cross multiply
    290.36x = 434.94 × 192.92
  4. Step 4: Simplify right side
    290.36x = 83,906.45
  5. Step 5: Solve for x
    x = 83,906.45/290.36
  6. Step 6: Final answer
    x = 288.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.